Penn's Coronavirus COVID-19 Update
2020 SAS summer courses will take place remotely. For undergraduates, please check Penn InTouch for updated summer course information. For graduate and professional students, please consult your schools and programs. Summer study abroad remains cancelled.

The College of Liberal and Professional Studies staff is working remotely to comply with University protocols as we navigate the COVID-19 virus. Penn is committed to maintaining a safe campus and workplace for faculty, students, staff, and visitors. While we are not onsite, we are still available Monday through Friday from 9 a.m. - 5 p.m. by phone and online in case you need support: (215) 898-7326 or

Visit, the University's dedicated coronavirus COVID-19 web page, for the latest updates.

Mathematics Academy

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July 6 - July 24, 2020


The Mathematics Academy is a unique opportunity for students interested in examining mathematical concepts rarely offered at the high school level. This rigorous, proof-oriented program will fuse lectures, problem sessions, demonstrations, and exploratory research to engage students in topics such as:

Discrete Mathematics
  • Combinatorics (enumerative, algebraic and geometric)
  • Generating functions and partitions
  • Graph theory
  • Probability
  • Combinational game theory
Algebra and Number Theory
  • Linear algebra
  • Prime and factorization algorithms
  • Congruencies and quadratic reciprocity
  • Galois theory
  • Geometry of numbers
Geometry and Topology
  • Euclidean and non-Euclidean geometries
  • Geometric transformations
  • Algebraic geometry
  • Point-set topology
  • Knot theory

If you attend a School District of Philadelphia public or charter high school, you may be eligible to attend a Penn Summer Academy free of charge with a Penn Summer Scholarship.

Get application information >


Lectures and discussions: Attend online sessions with mathematics faculty and experts which include lectures, recitations, group work, computer simulations, and problem sessions.

Comprehensive mathematics: Explore topics such as combinatorics, generating functions and partitions, graph theory, probability, combinational game theory, Galois theory, linear algebra, prime and factorization algorithms, congruencies and quadratic reciprocity, geometry of numbers, Euclidean and non-Euclidean geometries, geometric transformations, algebraic geometry, point-set topology, and knot theory.

Prerequisite: One year of high school Algebra II/Trigonometry is required for application.

Penn Summer online system requirements

We recommend that all operating systems, browsers, Flash, and other software be up to date before the start of each online class. Most courses use Canvas for assignments, discussion, and watching video, and synchronous sessions can happen in a variety of platforms. Students will receive all important information before the beginning of class.

See more system requirements >


Penn Summer High School

tuition and fees


Ready to apply for the

summer of your life?


Summer is the best season

to be a Penn student


Penn Summer

3440 Market Street, Suite 100
Philadelphia, PA 19104-3335

(215) 898-7326

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